Advanced Mechanics of Materials and Applied Elasticity, 6th Edition

Chapter 12. Plastic Behavior of Materials

12.1 Introduction

Thus far, we have considered loadings that cause the material of a member to behave elastically. We are now concerned with the behavior of machine and structural components when stresses exceed the proportional limit. In such cases, we need to use the stress–strain diagrams obtained from an actual test of the material, or an idealized stress–strain diagram. For purposes of analysis, a single mathematical expression is often employed for the entire stress–strain diagram. Deformations and stresses in members made of elastic–plastic and rigid–plastic materials having various forms will be determined under single and combined loadings. Applications include collapse load of structures, ...